A non-stationary approximation scheme on scattered centers in Rd by radial basis functions

被引：1

作者：

Yoon, J ^{[1
]}

机构：

[1] Ewha W Univ, Dept Math, Seoul 120750, South Korea

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 155卷 / 01期

关键词：

radial basis function; approximation order; Fourier transform; scattered centers; multivariate approximation;

D O I：

10.1016/S0377-0427(02)00898-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonstationary approximation scheme on R-d Using scattered translates of a smooth radial basis function (e.g., Gaussian) is developed. The scheme is nonstationary and shown to provide spectral approximation orders, i.e., approximation orders that depend only on the smoothness of the approximands. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：163 / 175

页数：13

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